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Simplifying 1000(6x + -4) = 40(365 + 100x) Reorder the terms: 1000(-4 + 6x) = 40(365 + 100x) (-4 * 1000 + 6x * 1000) = 40(365 + 100x) (-4000 + 6000x) = 40(365 + 100x) -4000 + 6000x = (365 * 40 + 100x * 40) -4000 + 6000x = (14600 + 4000x) Solving -4000 + 6000x = 14600 + 4000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4000x' to each side of the equation. -4000 + 6000x + -4000x = 14600 + 4000x + -4000x Combine like terms: 6000x + -4000x = 2000x -4000 + 2000x = 14600 + 4000x + -4000x Combine like terms: 4000x + -4000x = 0 -4000 + 2000x = 14600 + 0 -4000 + 2000x = 14600 Add '4000' to each side of the equation. -4000 + 4000 + 2000x = 14600 + 4000 Combine like terms: -4000 + 4000 = 0 0 + 2000x = 14600 + 4000 2000x = 14600 + 4000 Combine like terms: 14600 + 4000 = 18600 2000x = 18600 Divide each side by '2000'. x = 9.3 Simplifying x = 9.3
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